461865 has 16 divisors (see below), whose sum is σ = 758016. Its totient is φ = 240000.

The previous prime is 461861. The next prime is 461887. The reversal of 461865 is 568164.

It is not a de Polignac number, because 461865 - 2² = 461861 is a prime.

461865 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (47376).

2⁴⁶¹⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

461865 is a deficient number, since it is larger than the sum of its proper divisors (296151).

461865 is a wasteful number, since it uses less digits than its factorization.

461865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800.

The product of its digits is 5760, while the sum is 30.

The square root of 461865 is about 679.6065037947. The cubic root of 461865 is about 77.2986099727.

It can be divided in two parts, 461 and 865, that added together give a triangular number (1326 = T₅₁).

The spelling of 461865 in words is "four hundred sixty-one thousand, eight hundred sixty-five".